Congruent Triangles Proof

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for proving triangles congruent where two angles and a non-included side are known.

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle are known.

Front

What additional information is needed to prove triangles congruent by SAS?

Back

You need to know the lengths of two sides and the measure of the included angle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for proving triangles congruent where two angles and the included side are known.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the significance of vertical angles in triangle proofs?

Back

Vertical angles are always congruent, which can be used as a reason in proofs involving triangles.

Front

What is the relationship between alternate interior angles and parallel lines?

Back

When two parallel lines are crossed by a transversal, the alternate interior angles are congruent.

Front

How can you prove triangles are congruent using AAS?

Back

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the importance of knowing corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which can be used to prove other properties or solve for unknowns.

Front

What is the definition of a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at distinct points.